CN108132469A - A kind of space-variant filtering parameter high order fitting method of biradical Forward-looking SAR - Google Patents
A kind of space-variant filtering parameter high order fitting method of biradical Forward-looking SAR Download PDFInfo
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- CN108132469A CN108132469A CN201711453018.7A CN201711453018A CN108132469A CN 108132469 A CN108132469 A CN 108132469A CN 201711453018 A CN201711453018 A CN 201711453018A CN 108132469 A CN108132469 A CN 108132469A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
- G01S13/9021—SAR image post-processing techniques
- G01S13/9029—SAR image post-processing techniques specially adapted for moving target detection within a single SAR image or within multiple SAR images taken at the same time
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
- G01S13/904—SAR modes
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
- G01S13/904—SAR modes
- G01S13/9043—Forward-looking SAR
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
- G01S13/904—SAR modes
- G01S13/9058—Bistatic or multistatic SAR
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- Radar, Positioning & Navigation (AREA)
- Physics & Mathematics (AREA)
- Electromagnetism (AREA)
- Computer Networks & Wireless Communication (AREA)
- General Physics & Mathematics (AREA)
- Radar Systems Or Details Thereof (AREA)
Abstract
A kind of space-variant filtering parameter high order fitting method of biradical Forward-looking SAR, includes the following steps:Step 1. establishes the kinematic geometry configuration of the high motor platform SAR of biradical forward sight；Step 2. calculates the corresponding doppler centroid of scene center point；Step 3. is taken A points equally distributed in radar wave irradiation area centered on scene center point, to every bit abscissa, brings scene center point Doppler frequency value into, its ordinate is obtained in radar wave irradiation area；Step 4. is carried out curve fitting with A point being obtained to parameter needed for design space-variant filtering.The present invention gives a specific solution for the follow-up space-variant processing of biradical Forward-looking SAR gathered data, using high-order omit and constant is counter push away by the way of Fast Fitting go out required space-variant parameter, calculating intensity is significantly reduced, compensates for the prior art to the vacancy in SAR data processing procedure.
Description
Technical field
The invention belongs to electronic technology fields, are related to aircraft navigation technology, and in particular to a kind of sky of biradical Forward-looking SAR
Become filtering parameter high order fitting method.
Background technology
Double-base synthetic aperture radar（Bistatic synthetic aperture radar, are abbreviated as BiSAR）Refer to
Dual-mode antenna is placed in the radar systems of two different motion platforms.Compared with single base SAR, Bistatic SAR has good concealment,
It is safe, the advantages of strong antijamming capability, low cost and flexibility are strong, and it can realize that some lists base SAR can not
The special pattern of realization, such as forword-looking imaging.
Cause the constantly variation and movement of transmit-receive platform height however, as the operating mode of transmitter strabismus, receiver forward sight
Direction difference leads to the space-variant in azimuth of phase of echo, comes to follow-up imaging belt difficult.The Meng Ziqiang of Xian Electronics Science and Technology University is won
Scholar proposes to eliminate the phase space-variant in the phase term of high-precision two-dimensional frequency spectrum using higher order polynomial-fitting in its patent,
And then design efficient frequency domain imaging algorithm, hence it is evident that improve the focusing performance [1] of image scene.But in its patent only
It refers to respectively obtain and the relevant Taylor coefficients of scene using higher order polynomial-fitting , , (∆r
Represent that other point targets in scene in addition to point target P to the oblique distance difference of scene center point, represent to remove point target P in scene
Other outer point targets are to the oblique distance difference of scene center point, i.e. distance is to sampling interval and the product of the light velocity), to asking(∆
),(),() needs the scene center point coefficient of correspondence used,,And fitting coefficient,,(i∈, N is fitting exponent number) and specific method for solving is not provided.
Invention content
To overcome vacancy of the existing technology, meet SAR imaging subsequent processing requirements, the invention discloses a kind of biradical forward sights
The space-variant filtering parameter high order fitting method of SAR.
The space-variant filtering parameter high order fitting method of a kind of biradical Forward-looking SAR of the present invention, which is characterized in that including such as
Lower step:
Step 1. establishes the kinematic geometry configuration of the high motor platform SAR of biradical forward sight；
Rectangular coordinate system origin is set, and establishes receiver coordinate system xOyz and hair residing for sending and receiving platform respectively with the origin
Penetrate machine coordinate system x'Oy'z;Transmit-receive platform and the target point P in receiver coordinate system is obtained in motion conditions according to sending out, being closed flat platformBetween instantaneous biradical oblique distance：
---（1）；
WhereinFor coordinates of the target point P in transmitter coordinate system, Rrcen and Rtcen represent transceiver respectively
In the target oblique distance of synthetic aperture central instant;And
---（2）；
Instantaneous biradical oblique distance is subjected to Taylor expansion, and cast out quadravalence above section；It obtains
---（3）；
This step is not necessarily carried out prior to step 2,3,4；
Step 2. calculates scene center pointCorresponding doppler centroid；So-called scene center point, that is, radar
The geometric center point of wave irradiation area；
By coordinate value of the scene center point coordinates in receiver coordinate systemSubstitute into Doppler frequency formula;
---（4）
Replace Xp therein, Yp;Calculate central point Doppler frequency value；
Horizontal stroke, the ordinate of initial position of the transmitter under transmitter coordinate system xoyz are represented respectively；
Step 3. takes a X-directions in radar wave irradiation area of A equal in radar wave irradiation area centered on scene center point
The even point being spaced apart then to every bit, according to its abscissa in receiver coordinate system, is brought into
, its ordinate is obtained；
Step 4,
It is brought into step 1 with A point being obtained（2）、（3）Formula, you can obtain Taylor series expansion COEFFICIENT K1、K2、K3；To K1、
K2、K3It carries out curve fitting, obtains scene center point coefficient of correspondence i.e. match value K1S、K2S、K3SAnd fitting coefficient ai, bi, ci（i
=1,2,3, subscript represents different K）, then based on oblique distance difference △ r, higher order polynomial-fitting is carried out by following formula and is designed
Parameter k needed for space variant filter1（△r）、k2（△r）、k3（△r）
Preferably, each abscissa is brought into the step 3, be obtained its ordinate method tool
Body is：
It will（4）Formula existsPlace carries out Taylor expansion, obtains
；
By constant termThe equal sign left side is moved to, obtains the Taylor's formula of no constant term
；
It is derived using series inversion formula：
It obtains；
It can be by bringing intoDifferent is directly obtained；Wherein... it is respectively
Single order, second order, three order derivatives ... at place, and so on.
Further, the Taylor's formula of no constant term and series inversion formula cast out expansion item above three times in deriving.
Using the space-variant filtering parameter high order fitting method of biradical Forward-looking SAR of the present invention, biradical Forward-looking SAR is adopted
Collection data follow-up space-variant processing gives a specific solution, using high-order omit and constant is counter push away by the way of it is quick
Required space-variant parameter is fitted, significantly reduces calculating intensity, compensates for the prior art in SAR data processing procedure
Vacancy.
Description of the drawings
Fig. 1 is a specific embodiment party of the space-variant filtering parameter high order fitting method of biradical Forward-looking SAR of the present invention
Formula flow chart, Fig. 2 are the schematic diagram of the radar wave irradiation area in a specific embodiment of the invention, and Fig. 3 has for the present invention
The specific embodiment signal of the kinematic geometry configuration of the high motor platform SAR of biradical forward sight is established described in body embodiment
Figure.
Specific embodiment
Below in conjunction with the accompanying drawings, the specific embodiment of the present invention is described in further detail.
The space-variant filtering parameter high order fitting method of biradical Forward-looking SAR of the present invention, includes the following steps:
Step 1. is established shown in the kinematic geometry configuration picture 3 of the high motor platform SAR of biradical forward sight；
O as shown in Figure 3 is rectangular coordinate system origin, and the movement relation of sending and receiving platform is respectively in receiver coordinate system xOyz and hair
It penetrates in machine coordinate system x'Oy'z and represents;
Two coordinate systems share an origin, according to the rotation relationship of two coordinate systems, it is assumed for example that transmitter as shown in Figure 3 is sat
Mark system rotation angleObtain receiver coordinate system, then transmitter coordinate system internal coordinate (,,) in receiver coordinate system
Coordinate conversion be specially：
Transmitter（Send out platform）With the plane yOz of receiver coordinate system intoAlong curve in the plane of angle It does down
Drop movement, squints prolonged exposure imaging region, and instantaneous velocity is, The component in direction and z directions is denoted as respectively
With;Receiver is in the yOz planes of receiver coordinate system along curve Do descending motion.
Receiver（It is closed flat platform）Along curve in the plane yOz of receiver coordinate systemDescending motion is done, forward sight connects
Target area echo is received, target area echo instantaneous velocity is , Point in the y directions of receiver coordinate system and z directions
Amount is denoted as respectivelyWith。P(,, 0) and to survey and draw any one point target in region, it is assumed that scene is flat, is not present
Height relief.IfThe slow time（The orientation sampling time of two-dimentional echo data matrix, slow time are equidistant continuously distributed multiple
Time point, such as sampling interval are 1 second, are sampled since 0, then tm is 0 second, 1 second, 2 seconds ...）During tm=0WithTable respectively
Show the height of Receiver And Transmitter, receiver, transmitter are in receiver coordinate system xOyz and transmitter coordinate system x'Oy' at this time
Position in z is respectively R0(0,0,HR) and T0(x’t,0,HT), O' isProjection in the horizontal plane.WithRespectively Receiver And Transmitter velocity vector at this time,With
Respectively Receiver And Transmitter vector acceleration.
Assuming that the arbitrary tm moment position coordinates of the receiver in receiver coordinate system xOy for (0, ,), hair
Machine is penetrated in transmitter coordinate system In position coordinates for (,,), then sending and receiving position of platform can be expressed as
Target point in transmit-receive platform and receiver coordinate system is obtained according to above-mentioned hair, the motion conditions for being closed flat platform
Between instantaneous biradical oblique distance represent as follows：
---（1）；
WhereinFor coordinate of the target point in transmitter coordinate system, Rrcen and Rtcen represent transceiver respectively
In the target oblique distance of synthetic aperture central instant;And
---（2）；
Instantaneous biradical oblique distance is subjected to Taylor expansion, and cast out quadravalence above section；It obtains
---（3）；
This step is not necessarily carried out prior to step 2 to 4；
Step 2. calculates scene center pointCorresponding doppler centroid；So-called scene center point, that is, radar
The geometric center point of wave irradiation area；
By coordinate value of the scene center point coordinates in receiver coordinate systemDoppler frequency formula is substituted into,;
---（4）
Replace Xp therein, Yp;Calculate central point Doppler frequency value；
Horizontal stroke, the ordinate of initial position of the transmitter under receiver coordinate system xoyz are represented respectively；Formula（4）
Specific derivation process it is as follows：
According to the strong doctoral thesis of Meng Zhi《The high motor platform SAR system characteristic of biradical forward sight and imaging algorithm research》Middle transmit-receive platform
With target P (, 0) between instantaneous biradical oblique distance represent as follows：
Receiver is constant, the variable of transmitter in above formula is all changed under receiver coordinate system, thenIt represents as follows：
Then：
Again according to Doppler frequency formula：
Assuming that the size of radar wave irradiation area is 1000m × 2000m, the resolution ratio for setting ranks is all 0.5, so line direction
2000 sampled points are obtained, column direction obtains 4000 sampled points, i.e., shared M=8000000 point.（,）For its center
Point, it is specific as shown in Figure 2：
From figure 2 it can be seen that after the doppler centroid of central point calculates, if to obtain the Doppler frequencies such as one
Line needs to traverse whole M=8000000 points in imaging region, the Doppler frequency that each pair of point is answered is obtained, by it in
Heart point Doppler frequency is compared, if equal, preserves the coordinate value information of the point, finally obtains multiple discrete points to be intended
It closes.This intuitive higher order polynomial-fitting method needs to carry out the search of two dimension, and operand is very big.So design a kind of energy
Enough Fast Fittings, which go out, waits the method for Doppler's line particularly important for the data processing of radar system.
It is different by bringing into the present inventionDirectly it is obtainedRather than two-dimensional search is carried out, operand can be dropped
Low several orders of magnitude.
Step 3. takes the A X in radar wave irradiation area in radar wave irradiation area centered on scene center point
The equally distributed point in direction to every bit, according to its abscissa in receiver coordinate system, is brought into ,
Its ordinate is obtained；
So-called uniform intervals refer to uniformly take a little in X-coordinate, such as the radar wave range of exposures in X-coordinate (- 100,100)
It is interior, X=- 100 are taken, its corresponding ordinate is obtained in -99 ... 0 ... 99,100 201 points of grade respectively.
Each abscissa is brought into step 3
, its vertical seat is obtained
Calibration method is specially：
It will（4）Formula existsPlace carries out Taylor expansion, obtains
；By constant termThe equal sign left side is moved to, obtains the Taylor's formula of no constant term
；
It is derived using series inversion formula：
It obtains；
It can be by bringing intoDifferent is directly obtained；Wherein... it is respectively Single order, second order, three order derivatives ... at place, and so on.
In practical application, cubic term and more than final result is influenced minimum, but calculation amount is huge, general to omit, and only counts
Calculate cubic term and three order derivatives.
Step 4,
It is brought into step 1 with A point being obtained（2）、（3）Formula, you can obtain Taylor series expansion COEFFICIENT K1、K2、K3；To K1、
K2、K3It carries out curve fitting, obtains scene center point coefficient of correspondence i.e. match value K1S、K2S、K3SAnd fitting coefficient ai, bi, ci（i
=1,2,3, subscript represents different K）, then based on oblique distance difference △ r, higher order polynomial-fitting is carried out by following formula and is designed
Parameter K needed for space-variant filtering1（△r）、K2（△r）、K3（△r）
Using the space-variant filtering parameter high order fitting method of biradical Forward-looking SAR of the present invention, number is acquired for biradical Forward-looking SAR
According to follow-up space-variant processing give a specific solution, using high-order omit and constant is counter push away by the way of Fast Fitting
Go out required space-variant parameter, significantly reduce calculating intensity, compensate for the prior art to the sky in SAR data processing procedure
It lacks.
Previously described each preferred embodiment for the present invention, the preferred embodiment in each preferred embodiment is such as
Fruit is not apparent contradictory or premised on a certain preferred embodiment, and each preferred embodiment can arbitrary superposition group
It closes and uses, the design parameter in the embodiment and embodiment is merely to the invention for clearly stating inventor is authenticated
Journey, not to limit the scope of patent protection of the present invention, scope of patent protection of the invention is still with its claims
Subject to, the equivalent structure that every specification and accompanying drawing content with the present invention is made changes, and similarly should be included in the present invention
Protection domain in.
Claims (3)
1. a kind of space-variant filtering parameter high order fitting method of biradical Forward-looking SAR, which is characterized in that include the following steps:
Step 1. establishes the kinematic geometry configuration of the high motor platform SAR of biradical forward sight；
Rectangular coordinate system origin is set, and establishes receiver coordinate system xOyz and hair residing for sending and receiving platform respectively with the origin
Penetrate machine coordinate system x'Oy'z;Transmit-receive platform and the target point P in receiver coordinate system is obtained in motion conditions according to sending out, being closed flat platformBetween instantaneous biradical oblique distance：
---（1）；
WhereinFor coordinates of the target point P in transmitter coordinate system, Rrcen and Rtcen represent transceiver respectively
In the target oblique distance of synthetic aperture central instant;And
---（2）；
Instantaneous biradical oblique distance is subjected to Taylor expansion, and cast out quadravalence above section；It obtains
---（3）；
This step is not necessarily carried out prior to step 2,3,4；
Step 2. calculates scene center pointCorresponding doppler centroid；So-called scene center point, that is, radar wave
The geometric center point of irradiation area；
By coordinate value of the scene center point coordinates in receiver coordinate systemSubstitute into Doppler frequency formula;
---（4）
Replace Xp therein, Yp;Calculate central point Doppler frequency value；
Horizontal stroke, the ordinate of initial position of the transmitter under transmitter coordinate system xoyz are represented respectively；
Step 3. takes a X-directions in radar wave irradiation area of A equal in radar wave irradiation area centered on scene center point
The even point being spaced apart then to every bit, according to its abscissa in receiver coordinate system, is brought into
, its ordinate is obtained；
Step 4,
It is brought into step 1 with A point being obtained（2）、（3）Formula, you can obtain Taylor series expansion COEFFICIENT K1、K2、K3；To K1、
K2、K3It carries out curve fitting, obtains scene center point coefficient of correspondence i.e. match value K1S、K2S、K3SAnd fitting coefficient ai, bi, ci（i
=1,2,3, subscript represents different K）, then based on oblique distance difference △ r, higher order polynomial-fitting is carried out by following formula and is designed
Parameter k needed for space variant filter1（△r）、k2（△r）、k3（△r）
。
2. the space-variant filtering parameter high order fitting method of biradical Forward-looking SAR as described in claim 1, which is characterized in that described
Each abscissa is brought into step 3, the method that its ordinate is obtained is specially：
It will（4）Formula existsPlace carries out Taylor expansion, obtains
；
By constant termThe equal sign left side is moved to, obtains the Taylor's formula of no constant term
；
It is derived using series inversion formula：
It obtains；
It can be by bringing intoDifferent is directly obtained；Wherein... it is respectively Place
Single order, second order, three order derivatives ..., and so on.
3. the space-variant filtering parameter high order fitting method of biradical Forward-looking SAR as claimed in claim 2, which is characterized in that variable
Several Taylor's formulas and series inversion formula cast out expansion item above three times in deriving.
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| CN108469612A (en) * | 2018-03-20 | 2018-08-31 | 西安电子科技大学 | Fluctuating acceleration Forward-looking SAR imaging method when biradical based on equivalent oblique distance |
| CN109765556A (en) * | 2018-12-29 | 2019-05-17 | 成都航天科工微电子***研究院有限公司 | A kind of bearing calibration of Bistatic SAR fast geometric and device based on series inverting |
| CN109765529A (en) * | 2018-12-30 | 2019-05-17 | 成都汇蓉国科微***技术有限公司 | A kind of millimetre-wave radar anti-interference method and system based on digital beam froming |
| CN111308457A (en) * | 2019-12-11 | 2020-06-19 | 成都汇蓉国科微***技术有限公司 | Method, system and storage medium for north finding of pulse Doppler radar |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108469612A (en) * | 2018-03-20 | 2018-08-31 | 西安电子科技大学 | Fluctuating acceleration Forward-looking SAR imaging method when biradical based on equivalent oblique distance |
| CN109765556A (en) * | 2018-12-29 | 2019-05-17 | 成都航天科工微电子***研究院有限公司 | A kind of bearing calibration of Bistatic SAR fast geometric and device based on series inverting |
| CN109765529A (en) * | 2018-12-30 | 2019-05-17 | 成都汇蓉国科微***技术有限公司 | A kind of millimetre-wave radar anti-interference method and system based on digital beam froming |
| CN109765529B (en) * | 2018-12-30 | 2020-11-10 | 成都汇蓉国科微***技术有限公司 | Millimeter wave radar anti-interference method and system based on digital beam forming |
| CN111308457A (en) * | 2019-12-11 | 2020-06-19 | 成都汇蓉国科微***技术有限公司 | Method, system and storage medium for north finding of pulse Doppler radar |
| CN111308457B (en) * | 2019-12-11 | 2021-11-16 | 成都汇蓉国科微***技术有限公司 | Method, system and storage medium for north finding of pulse Doppler radar |
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